# Mathematics

The Mathematics department will be offering three courses: Mathematical Studies Standard Level, Mathematics Standard Level and Mathematics Higher Level.

**Mathematical Studies ~ Standard Level**

This course caters for students with varied backgrounds and abilities. More specifically it is designed to build confidence and encourage an appreciation of Mathematics in students who do not anticipate a need for Mathematics in their future studies. Students embarking on this course need to have GCSE maths at the higher tier and achieved at least a Grade 5.

The nature of Mathematical Studies is such that it concentrates on Mathematics which can be applied to contexts related as far as possible to other subjects being studied, to common real-world occurrences and to topics that relate to home, work and leisure situations. The programme includes: a piece of written work based on personal research, guided and supervised by the teacher. This project provides an opportunity for students to carry out a mathematical investigation in the context of another subject in the curriculum, a hobby or interest of his/her choice using skills learned before and during the Mathematical Studies course. This process allows students to ask their own questions about Mathematics and take responsibility for a part of their own course of studies in Mathematics.

The students most likely to select this subject are those whose main interests lie outside the field of Mathematics, and for many students this course will be their final experience of being taught formal Mathematics. All parts of the syllabus have, therefore, been carefully selected to ensure that an approach starting with first principles can be used. As a consequence, students can use their own inherent, logical thinking skills and do not have to rely on standard algorithms and remembered formulae. Students likely to need Mathematics for the pursuit of further qualifications should not choose this course.

**The Mathematical Studies course consists of the study of the following topics:**

- Number and algebra
- Sets and logic
- Geometry and trigonometry
- Statistics and probability
- Functions
- Financial mathematics
- Introductory differential calculus
- Mathematical Project

All students studying Mathematical Studies Standard Level will be required to have access to a graphical calculator. The model we shall be using is the Casio FX 9750 GII and this can be obtained from the school Finance Office at the start of term.

**Mathematics ~ Standard Level**

This course caters for students who already possess a sound knowledge of mathematical concepts, and who are equipped with the skills needed to apply mathematical techniques correctly. This course is a demanding one and therefore only suitable for students who have studied GCSE Mathematics at the Higher Tier and **who have achieved a Grade 7 or above.** The majority of students who opt for this course will expect to need a sound mathematical background as they prepare for future studies in subjects such as Science, Engineering and Economics

The course focuses on introducing important mathematical concepts through the development of mathematical techniques. The intention is to introduce students to these concepts in a comprehensible and coherent way, rather than insisting on mathematical rigour. Students should, wherever possible, apply the mathematical knowledge they have acquired to solve realistic problems set in an appropriate context.

The internally assessed component in this course is a mathematical exploration. This is a short report written by the student based on a topic of their choice. The emphasis is on mathematical communication (including formulae, diagrams, graphs etc.), with accompanying commentary, good mathematical writing and thoughtful reflection. The exploration will allow students to develop areas of interest to them without a time constraint as in examination, and allow all students to experience a feeling of success.

This course does not have the depth found in the Mathematics Higher Level course. Students wishing to study subjects with a high degree of mathematical content should therefore opt for the Mathematics Higher Level course rather than a Mathematics Standard Level course.

The Mathematics Standard Level course consists of the study of the following topics:

- Number and algebra
- Functions and equations
- Circular functions and trigonometry
- Vector geometry
- Probability and Statistics
- Calculus
- Mathematical Exploration

All students studying Mathematics Standard Level will be required to have access to a graphical calculator. The model we shall be using is the Casio FX 9750 GII and this can be obtained from the school Finance Office at the start of term.

**Mathematics ~ Higher Level**

This course caters for students with a very good background in Mathematics who are competent in a range of analytical and technical skills. The majority of these students will be expecting to include Mathematics as a major component of their university studies, either as a subject in its own right or within courses such as Physics, Engineering and Technology. Others may take this subject because they have a strong interest in Mathematics and enjoy meeting its challenges and engaging with its problems.

The nature of this subject is such that it focuses on developing important mathematical concepts in a comprehensible, coherent and rigorous way. This is achieved by means of a carefully balanced approach. Students are encouraged to apply their mathematical knowledge to solving problems set in a variety of meaningful contexts while development of each topic should feature justification and proof of results. Students embarking on this course should expect to develop insight into mathematical form and structure, and should be intellectually equipped to appreciate the links between concepts in different topic areas.

The internally assessed component in this course is a mathematical exploration. This is a short report written by the student based on a topic of their choice. The emphasis is on mathematical communication (including formulae, diagrams, graphs etc.), with accompanying commentary, good mathematical writing and thoughtful reflection. The exploration will allow students to develop areas of interest to them without a time constraint as in examination, and allow all students to experience a feeling of success.

This course clearly is a demanding one, requiring students to study a broad range of mathematical topics through a number of different approaches and to varying degrees of depth. **This course is therefore only accessible to students who have achieved Grade 8 or 9 at GCSE Mathematics. **Students wishing to study Mathematics in a less rigorous environment should therefore opt for one of the Standard Level courses, Mathematics Standard Level or Mathematical Studies Standard Level.

The Mathematics Higher Level course consists of the study of the following topics:

- Number and algebra
- Functions and equations
- Circular functions and trigonometry
- Vector geometry
- Probability and statistics
- Calculus
- Mathematical Exploration
- Further Probability & Statistics (option)

All students studying Mathematics Higher Level will be required to have access to a graphical calculator. The model we shall be using is the Casio FX 9750 GII and this can be obtained from the school Finance Office.